Books with title The Elements of Solid Geometry

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Excerpt from The Elements of Solid GeometryIn Section III. I have treated of Dihedral and Solid Angles, and in Section IV. Of Polyhedra, and in particular of the five Regular Solids, with the definitions and a summary of the leading characteristics of the Prism, Cylinder, Pyramid,' Cone, and Sphere.In Section V. The Volumes of Solids are considered, and the usual rules or formulae for the numerical measures of volumes in cubic units deduced. To this Section I have added an Appendix on Symmetry, which I h0pe will be useful in assisting the student to clearer conceptions of figures and their relations in solid space. A short word has long been wanted for the decasyllabic rectangular parallelepiped: I am sanguine that the word cuboid, which I have here introduced, will meet with acceptance from mathematicians.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from The Elements of Analytic GeometryAnalytic Geometry is a broader subject than Conic Sections. It is far more important to the student that he should acquire a familiarity with the analytic method, and thoroughly grasp the generality of its processes and the comprehensiveness of its results, than that he should obtain a detailed knowledge of any particular set of curves. Furthermore, all branches of mathematics are fundamentally and inseparably related. Any subject, therefore, should be presented in such a way as to keep it in touch with all that has preceded, and at the same time reach forward toward that which is immediately to follow, to the end that there may be no sudden transition in passing from one branch to another. Algebra and Geometry, Analytics and Calculus are mutually helpful, and should not be studied entirely apart. No one of these subjects can be finished before the others are begun.The general plan and scope of this book is due to a firm conviction of the soundness of these statements. For this reason a fuller treatment than usual is given of the general analytic method before taking up the study of the conic sections, and subjects have been introduced not ordinarily treated in text books on Analytic Geometry. The method of the differential calculus is the only way of studying the slope of curves, and furnishes the best means of finding the equation of the tangent and the normal. The graphical method of illustration and the derivative are indispensable in the discussion of the Theory of Equations. The use of the derivative curve in the theory of equal roots, together with the fact that the ordinate of the "derivative curve" is the slope of the "integral curve," naturally suggests a possible converse relation, and leads easily and logically to the study of Quadrature, and Maxima and Minima.It is believed that the elementary discussion of these subjects here given will tend to meet the needs of scientific and engin…

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

About the Book Mathematics is the study of such problems as quantity, structure, space, and change. Mathematicians seek out and implement patterns to formulate new theories; they resolve the veracity of theories by applying mathematical proofs. When mathematical frameworks provide good replications of actual events, then mathematics can improve our predictions about natural phenomena. Using theoretical abstraction and logic, over thousands of years mathematics has developed from simple calculation and measurement, to the systematic study of the shapes and dynamics of physical objects. About us Leopold Classic Library has the goal of making available to readers the classic books that have been out of print for decades. While these books may have occasional imperfections, we consider that only hand checking of every page ensures readable content without poor picture quality, blurred or missing text etc. That's why we: republish only hand checked books; that are high quality; enabling readers to see classic books in original formats; that are unlikely to have missing or blurred pages. You can search "Leopold Classic Library" in categories of your interest to find other books in our extensive collection. Happy reading!

Excerpt from The Elements of Solid Geometry: With Numerous ExercisesThe key-note to the arrangement of the contents of the book, and to its raison d' e'tre, is the quotation from De Morgan given on the title-page.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Analytic Geometry is a broader subject than Conic Sections. It is far more important to the student that he should acquire a familiarity with the analytic method, and thoroughly grasp the generality of its processes and the comprehensiveness of its results, than that he should obtain a detailed knowledge of any particular set of curves. Furthermore, all branches of mathematics are fundamentally and inseparably related. A ny subject, therefore, should be presented in such a way as to keep it in touch with all that has preceded, and at the same time reach forward toward that which is immediately to follow, to the end that there may be no sudden transition in passing from one branch to another. Algebra and Geometry, Analytics and Calculus are mutually lelpful, and should not be studied entirely apart. No one of these subjects can be finished before the others are begun. The general plan and scope of this book is due to a firm conviction of the soundness of these statements. For this reason a fuller treatment than usual is given of the general analytic method before taking up the study of the conic sections, and subjects have been introduced not ordinarily treated in text books on Analytic Geometry. The method of the differential calculus is the only way of studying the slope of curves, and furnishes the best means of finding the equation of the tangent and the normal. The graphical method of illustration and the derivative are indispensable in the discussion of the Theory of Equations. The use of the derivative curve in the theory of equal roots, together with the fact that the ordinate of the derivative curve is the slope of the integral curve, naturally suggests a possible converse relation, and leads easily and logically to the study of Quadrature, and Maxima and Minima. It is believed that the elementary discussion of these subjects here given will tend to (Typographical errors above are due to OCR software and don't occur in the book.)